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Education kit: What are the odds? - Powerhouse Museum

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6. NSW State Lottery Office.<br />

Scratch lotteries<br />

Are you joking?<br />

<strong>What</strong> <strong>are</strong> <strong>the</strong> <strong>odds</strong>?<br />

A ma<strong>the</strong>matician and a non-ma<strong>the</strong>matician <strong>are</strong> sitting in an airport hall<br />

waiting for <strong>the</strong>ir flight. The non-ma<strong>the</strong>matician has terrible flight panic.<br />

‘Hey, don’t worry, it’s just every 10 000th flight that crashes.’ ‘1 in<br />

10 000? So many? Then it surely will be mine!’<br />

‘Well, <strong>the</strong>re is an easy way out. Simply take <strong>the</strong> next plane. It’s much<br />

more probable that you go from a crashing to a non-crashing plane than<br />

<strong>the</strong> o<strong>the</strong>r way around. So you <strong>are</strong> already at 1 in 10 000 squ<strong>are</strong>d.’<br />

[source: http://www.ahajokes.com]<br />

1. There <strong>are</strong> 960 000 tickets sold in a $2 scratch lottery. 6<br />

a. Calculate <strong>the</strong> total value of <strong>the</strong> tickets.<br />

b. Write this amount in words.<br />

2. Newsagents <strong>are</strong> paid 15 cents commission for each ticket <strong>the</strong>y<br />

sell. How much commission is paid for <strong>the</strong> 960 000 tickets?<br />

EDUCATION KIT 19

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